GATE Practice Question and Answer
8Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1497 05b5cc6bde4d2b4197774d910
5b5cc6bde4d2b4197774d910- 116 daysfalse
- 213 daystrue
- 315 daysfalse
- 412 daysfalse
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Answer : 2. "13 days"
Explanation :
Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13 Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10 P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.
Q: When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ? 1497 05b5cc6dae4d2b4197774e88f
5b5cc6dae4d2b4197774e88f- 1188 millionfalse
- 2166 2/3 milliontrue
- 3192 3/4 millionfalse
- 4Nonefalse
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Answer : 2. "166 2/3 million"
Explanation :
Answer: B) 166 2/3 million Explanation: 5% - 2% = 3%=> 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.
Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1497 05b5cc767e4d2b4197774fe10
5b5cc767e4d2b4197774fe10- 1Only a is sufficientfalse
- 2Neither a nor b is sufficientfalse
- 3Only b is sufficientfalse
- 4Both a and b sufficienttrue
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Answer : 4. "Both a and b sufficient"
Explanation :
Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.
Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1496 05b5cc73de4d2b4197774f943
5b5cc73de4d2b4197774f943- 180%true
- 270%false
- 375%false
- 462%false
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Answer : 1. "80%"
Explanation :
Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm. After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm. So % of water = 100 x 60/75 = 80%.
Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1496 05b5cc6e2e4d2b4197774ec1b
5b5cc6e2e4d2b4197774ec1b- 14 : 5true
- 25 : 4false
- 37 : 6false
- 46 : 7false
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Answer : 1. "4 : 5"
Explanation :
Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5
Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1496 05b5cc6b3e4d2b4197774d3f3
5b5cc6b3e4d2b4197774d3f3- 176%false
- 277%false
- 378%true
- 479%false
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Answer : 3. "78%"
Explanation :
Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%
Q: What is the next letter in the given seriesM N J Q G ? 1495 05b5cc74ae4d2b4197774fa7c
5b5cc74ae4d2b4197774fa7c- 1Ufalse
- 2Sfalse
- 3Ttrue
- 4Hfalse
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Answer : 3. "T"
Explanation :
Answer: C) T Explanation: 1ST SERIES = M J G... It decreasing by 3 alphabets.2ND SERIES = N Q... It increasing by 3 alphabets. M N J Q G T...
Q: A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days? 1494 05b5cc6bfe4d2b4197774da60
5b5cc6bfe4d2b4197774da60- 13true
- 24false
- 35false
- 42false
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Answer : 1. "3"
Explanation :
Answer: A) 3 Explanation: Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit) Volume of tank = 18 x 12 x 8 = 1728 cu.m Water of this tank will suffice for = 1728/560 = 3 days.

